Abstract

We investigated the implications of introducing the higher order tensor in the Einstein field equations for the Schwarzschild metric on the vacuum condition and non de Sitter. Since the components of this tensor contain the fourth-order derivative, the solution of the Einstein field equations was solved by using the Frobenius method. To see the implications, we tested two cases, i.e., the deviation of light and the time delay of light. We found that the deviation of light has no correction while the time delay of light needs a correction.

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